Minimum rate sampling and reconstruction of signals with arbitrary frequency support
Minimum rate sampling and reconstruction of signals with arbitrary frequency support
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DOI：
10.1109/18.771158
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发表时间：
1999-07-01
影响因子：
2.5
通讯作者：
Wong, PW
中科院分区：
文献类型：
--
作者：
Herley, C;Wong, PW
我们研究的问题，从周期性的非均匀样本的信号重建。这涉及以某种周期性方式从均匀采样的信号中丢弃样本。我们给出了一个表征的信号，可以重建的最低速率，一旦一个非均匀的采样模式已被固定。我们给出了一个隐式表征的重建系统，和一种设计方法，理想的重建滤波器可以近似。我们证明，对于某些频谱支持的最小速率可以接近或实现使用重建方案的复杂性要低得多，比那些到达通过使用频谱切片，如在早期work.Previous工作的多频带信号通常是那些限制性的假设的大小和位置的频带已经取得，或在最小速率渐近接近。我们表明，类的多频带信号，可以被准确地重建被证明是远远大于以前考虑的。当接近最小速率时，在某些情况下，这种自由度允许我们具有远不那么复杂的重建系统。
We examine the question of reconstruction of signals from periodic nonuniform samples. This involves discarding samples from a uniformly sampled signal in some periodic fashion. We give a characterization of the signals that can be reconstructed at exactly the minimum rate once a nonuniform sampling pattern has been fixed. We give an implicit characterization of the reconstruction system, and a design method by which the ideal reconstruction filters may be approximated. We demonstrate that for certain spectral supports the minimum rate can be approached or achieved using reconstruction schemes of much lower complexity than those arrived at by using spectral slicing, as in earlier work.Previous work on multiband signals have typically been those for which restrictive assumptions on the sizes and positions of the bands have been made, or where the minimum rate was approached asymptotically. We show that the class of multiband signals which can be reconstructed exactly is shown to be far larger than previously considered. When approaching the minimum rate, this freedom allows us, in certain cases to have a far less complex reconstruction system.